The parameter bayesian estimation of two-parameter exponential-poisson distribution and its optimal property.

Based on the general non-information prior distribution, we study the Bayes estimations of the parameter of the Exponential-Poisson Distribution under some symmetrical and unsymmetrical loss functions. As parameterbis fixed, the Bayesian estimations of another parameterlare given. Simulation studies are performed to access the accuracy of the different estimations. The simulation result illustrates different random sample size could select different loss functions, then, it is improved the precision of unknown parameters under the loss functions. [ABSTRACT FROM PUBLISHER]